Part I:
1. C)   2. D)   3. A)   4. B)   5. B)   6. D)
7. B)   8. F)   9. E)   10. D)   11. C)

Part II
1. a) (x-2)-4(y+1)-(z-2)=0 or x-4y-z=4 (also z=x-4y-4)
   b) x=t+2; y=-4t-1; z=-t+2
   c) i-4j (or any non-zero multiple of it)
2. a) Local minima at (1,1) and (-1,-1), saddle point at (0,0)
   b) No, since we have no candidates for global max.
   c) Yes, at (1,1) and (-1,-1), since f(x,y)=(x^2-y^2)^2+2(xy-1)^2+2
3. (2,2,2Sqrt(2))
4. 112 Pi/3

Additional questions
1. 9 Pi-30
2. a) f(x,y)=x^2+y^2+2y=x^2+(y+1)^2-1
   b) x^2+y^2+2y=7
   c) Circle of radius 2Sqrt(2) centered at (0,-1)
   d) Negative
   e) Maximum on C, minimum at (0,-1)
3. e^(-2)-e^2+4Pi
4. Area=3
5. a) k=-5
   b) 12k+60